In this dissertation, I present the original BPS vortices (Bogomol'nyi-Prasad-Sommer)eld)
inherent in a gauge model Maxwell-CP(2) from the general scenario CP (N-1) (in which
N = 3, with N corresponding to the number of components of the CP (2) field), when subjected
to the presence of an additional, real and neutral scalar field. Then, focusing on radially symmetrical
structures, we construct a first-order structure for the model, using the Bogomol'nyi
procedure. From the minimization of the total energy, we obtain general expressions for the
minimum energy of the model, whose value has an extra contribution due to the presence of the
neutral field, and for the respective first order equations (BPS equations), in which both the
minimum energy while the BPS equations depend directly on the functional structure of the
dielectric function. The introduction of the scalar field, which interacts with the electromagnetic
sector via an unusual dielectric function, produces significant modifications in the shape
of the resulting BPS vortices, such changes being understood as the manifestation of internal
structures originated by the presence of the additional neutral field.